R-Calculus, IV: Propositional Logic

This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision. It gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming, -propositional logic, semantic networks, and three-valued logic, etc.. Applications of R-calculus in logic of supersequents are also given.

This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

Combines propositional logic and R-calculus for a new point of view to consider belief revision Gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming etc. Inspires theoretic computer scientists by showing how R-calculus is developed into a series of complicated theories

Auteur
Wei Li, is a Professor in the School of Computer Science and Engineering, Beihang University, Beijing, China and is a member of the Chinese Academy of Sciences. Prof. Li is mostly engaged in the applied research of Computer Software and Theory, and the Internet, including programming languages, software development, artificial intelligence, and integrated circuit design.

Yuefei Sui, is a Professor in the Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China. His main interests include knowledge representation, applied logic and the theory of computability.

Contenu

Introduction.- R-calculus for simplified propositional logics.- R-calculi for tableau/Gentzen deduction systems.- R-calculi RQ1Q2/RQ1Q2.- R-calculi RQ1iQ2j/RQ1iQ2j.- R-Calculi: RY1Q1iY2Q2j/RY1Q1iY2Q2j.- R-calculi for supersequents.- R-calculi for propositional logic.